LIMITED POWER OF ATTORNEY FOR
SECTION 16 REPORTING OBLIGATIONS



POWER OF ATTORNEY
Know all by these presents, that the undersigned
hereby authorizes each of Michael A. Coke and Tamra D. Browne of AMB
Property Corporation (the "Company"), each acting individually, to execute
for and on behalf of the undersigned, in the undersigned's capacity as an
officer and/or director of the Company, Forms 3, 4 and 5, and any
amendments thereto, and cause such form(s) to be filed with the United
States Securities and Exchange Commission pursuant to Section 16(a) of the
Securities Exchange Act of 1934 (the "Exchange Act"), relating to the
undersigned's beneficial ownership of securities in the Company.  The
undersigned hereby grants to each such attorney-in-fact full power and
authority to do and perform any and every act and thing whatsoever
requisite, necessary, or proper to be done in the exercise of any of the
rights and powers herein granted, as fully to all intents and purposes as
the undersigned might or could do if personally present, with full power of
substitution or revocation, hereby ratifying and confirming all that such
attorney-in-fact, or such attorney-in-fact's substitute or substitutes,
shall lawfully do or cause to be done by virtue of this power of attorney
and the rights and powers herein granted.  The undersigned acknowledges
that the foregoing attorneys-in-fact, in serving in such capacity at the
request of the undersigned, are not assuming, nor is the Company assuming,
any of the undersigned's (i) responsibilities to comply with Section 16 of
the Exchange Act, (ii) liabilities for failure to comply with such
requirements or (iii) obligations or liabilities for profit disgorgement
under Section 16(b) of the Exchange Act.
This Power of Attorney shall
remain in full force and effect until the undersigned is no longer required
to file Forms 3, 4 and 5 with respect to the undersigned's holdings of, and
transactions in, securities issued by the Company, unless earlier revoked
by the undersigned in a signed writing delivered to the foregoing
attorneys-in-fact.

IN WITNESS WHEREOF, the undersigned has cause this
Power of Attorney to be executed as of this 11th day of August, 2004.
/s/
Lydia H. Kennard
Lydia H. Kennard